11033000440 has 128 divisors (see below), whose sum is σ = 31948369920. Its totient is φ = 3327897600.

The previous prime is 11033000353. The next prime is 11033000443. The reversal of 11033000440 is 4400033011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11033000443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37704 + ... + 153256.

It is an arithmetic number, because the mean of its divisors is an integer number (249596640).

Almost surely, 2^11033000440 is an apocalyptic number.

11033000440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11033000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15974184960).

11033000440 is an abundant number, since it is smaller than the sum of its proper divisors (20915369480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11033000440 is a wasteful number, since it uses less digits than its factorization.

11033000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115613 (or 115609 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 11033000440 its reverse (4400033011), we get a palindrome (15433033451).

The spelling of 11033000440 in words is "eleven billion, thirty-three million, four hundred forty", and thus it is an aban number.